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Finding the Fourth Proportional to 200.95, 277.53 and 157.61

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Solution

The fourth proportional to 200.95, 277.53 and 157.61 is: 217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.95 : 277.53 = 157.61 : x
  2. Step 2: Convert to fraction form
    200.95/277.53 = 157.61/x
  3. Step 3: Cross multiply
    200.95x = 277.53 × 157.61
  4. Step 4: Simplify right side
    200.95x = 43,741.61
  5. Step 5: Solve for x
    x = 43,741.61/200.95
  6. Step 6: Final answer
    x = 217.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.